On spectral properties in one-dimensional extended Hubbard model: a bosonization analysis and numerical inspection

Recent ARPES experiments of doped one-dimensional (1D) cuprate chains reveal a possible near-neighbor attraction induced by electron-phonon coupling. Here we examine the spectral properties based on the extended Hubbard model with both the on-site repulsion $U$ and a nearest neighbor interaction $V$, by using phenomenological bosonization analysis as well as the high-precision time-dependent variational principle calculation. We find that the spectral weights of the holon-folding and $3k_F$ branches evolve reversely with the change of $V$ for $|V|leq2t$. We argue that this peculiar dichotomy can be explained by the opposite dependence of the exponent $gamma_{ ho,m}$, which determines the spectral property, on the Luttinger parameter $K_{ ho}$. We also find in the 1D cuprate $Vapprox -1.7t$, which may indicate a strong enhancement of superconductivity in the parent two-dimensional material.